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Mathematics, 20.11.2020 23:30 aranza78

Please help! If we write \sqrt{2} + \frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}} in the form \frac{a \sqrt{2} + b \sqrt{3}}{c}, such that a, b, and c are positive integers and c is as small as possible, then what is a+b+c?

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